CCSS.Math.Content.6.RP.A.3c
The Standard
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Common Core State Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write a percent as a fraction out of 100 or as a decimal, then multiply to find the part. They divide or use equivalent ratios to find the whole when the part and percent are known.
What Mastery Looks Like
- A student can solve problems such as 35% of 80 and 21 is 30% of what number. They label the part and whole and check answers with benchmark percents.
Common Misconceptions
- Students may treat 35% as 35 instead of 0.35 or 35/100. In reverse problems, they may use the given part as the whole or multiply when division is needed.
How to Assess It
- Exit ticket: Find 15% of 60, then find the whole when 18 is 30%. Require an equation and a labeled answer for each.
Lesson moves
Ways to Teach It
Give pairs 40 counters and a 100-grid. Use the grid to identify 25%, then show 25% of 40.
Discuss: “Twelve students are 30% of a club. How many members are there?” Compare equations and ratio tables.
Play Percent Match. Students pair cards such as 20% of 45 with answer cards, then justify one match using an equation.
Use store sale tags to calculate discounts, then find the original price when a tag says $18 off is a 30% discount.
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Printable 6.RP.A.3c Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.6.RP.A.3c, with an answer key for the teacher on its own page. No account needed.
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Where This Standard Sits
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.6.RP.A.1
Percent problems use a part-to-whole ratio with 100 as the reference, extending ratio language to rates per 100.
- CCSS.Math.Content.6.RP.A.2
Understanding unit rates supports seeing percent as a rate per 100 and using that rate to relate part and whole.
- CCSS.Math.Content.5.NF.B.4
Percent problems use 30/100 times a quantity, so fraction multiplication directly carries into finding parts and interpreting percents.
What This Unlocks
Mastery here sets students up for these next.
Keep exploring
Related Standards
- CCSS.Math.Content.HSF-LE.A.1c
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
- CCSS.Math.Content.5.NF.B.3
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers i...
- CCSS.Math.Content.3.OA.A.3
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawi...
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